What is the surface area of the rectangular prism?


128 m2
144 m2
256 m2
288 m2

The answer is less than because if you grab a calculator and do 8 squared then you get 2.82842712475.

Answer:

you get random numbers when you use a calculator

Step-by-step explanation:

Answer: 8.9*10^(-6)

Step-by-step explanation: The exponent is negative so the scientific notation will be negative, then move the decimal point 6 places to the left.

Answer: 8.9×10^-6

Step-by-step explanation:

0.0000089

Looking at this value

In writing to scientific notation,

You count the 0's in front which is 5

So you move the decimal point to the back of 8

Now we have

8.9×10^-6

Answer:

9 yards

Step-by-step explanation:

A square has 4 equal sides, this means the 2 sides we will multiply to get the area are going to be the same. Since it says 81 yards squared and the shape is a square, we can do the square root of 81 which is 9.

Answer: 9x9 or 3x27

Step-by-step explanation:

squares are usually the same length but i would go with 9x9

Answer:

If you meant to type rhombus, instead of fhombus than d is your answer.

Step-by-step explanation:

It is not square because a square has 4 right angles. It isn't rectangle because there isn't 4 equal sides, and isn't trapezoid because there isn't four equal sides either.

Final answer:

A polygon with 4 equal sides, 2 obtuse angles, and 2 acute angles is known as a rhombus, since squares and rectangles only have right angles, and trapezoids typically do not have 4 equal sides.

Explanation:

The polygon in question has 4 equal sides, 2 obtuse angles, and 2 acute angles. This description rules out a square (option A) and a rectangle (option B) since they only have right angles, and it rules out a trapezoid (option C) since a trapezoid typically does not have 4 equal sides. The remaining option is a rhombus (option D), which fits the given criteria. In a rhombus, all sides are indeed equal, and it can have 2 obtuse and 2 acute angles.

It's important to know that the sum of the interior angles in any quadrilateral is 360°, which holds true for a rhombus as well. In addition, understanding that angles on a straight line equal 180° can be helpful when analyzing the properties of quadrilaterals.

Answer:

37.3 miles

Step-by-step explanation:

180 - 59.83 - 55.54 = 64.63°

39/sin64.63 = X/sin59.83

X = 37.3157217 miles

The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].

Step-by-step explanation:

The given is,

                   Circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].

Step:1

                 Equation for circle is,

                                                 [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex].......................(1)

                  Where,

                                (h, k) - Center point

                                      r - Radius of circle

                   Given equation,

                                                 [tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]....................(2)

                   Comparing equation (1) and equation (2)

                                                    (h, k) - (-6, 4)

                                                         [tex]r^{2}[/tex] - 16

                   Take square root on both side,

                                                         [tex]r = \sqrt{16}[/tex]

                                                         r = 4

                   Formula for diameter,

                                                        [tex]d = 2r[/tex]

                                                           [tex]=(2)(4)[/tex]

                                                           = 8

                        Diameter of circle, d = 8

Result:

           The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].

Answer:

adding 5x and 4x

Step-by-step explanation:

you always add similar variables before doing anything

Combine your like terms!(5x+4x) :DDDDD

Answer:

b

Step-by-step explanation:

took quiz already

Answer:

B

Step-by-step explanation:

B

The probability of getting the same colour twice when a fair spinner with 10 sections (3 red, 4 blue, 3 green) is spun twice is 34%.

This question is about the concept of probability in Mathematics. Since the spinner is spun twice and we want the same colour both times, we need to calculate the probability for each colour and then add them together.

There are 10 sections in total on the spinner, with 3 being red, 4 being blue, and 3 being green:

So the total probability of getting the same colour twice is 9/100 + 16/100 + 9/100 = 34/100 = 0.34 or 34%.

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Answer:

More of the children were close to 12 years old than 6 years old.

Step-by-step explanation:

The statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.

A box plot shows how a data is distributed, as it displays the five-number summary.

The five-number summary of the box plot representing the average age of children is:

Therefore, the statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.

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Answer:

$103968.11.

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where,

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

[tex]A=240000(1+\dfrac{0.012}{24})^{24(30)}[/tex]

[tex]A=240000(1.0005)^{720}[/tex]

[tex]A=343968.11[/tex]

Now,

[tex]Interest=A-P[/tex]

[tex]Interest=343968.11-240000[/tex]

[tex]Interest=103968.11[/tex]

Hence, the interest is $103968.11.

Final answer:

The total interest paid on a $240,000 loan with a 1.2% interest rate compounded bimonthly over 30 years is $103,875.4

Explanation:

Calculating Compound Interest Over 30 Years

Mr. and Mrs. Rainer took out a $240,000 loan for their home with an interest rate of 1.2% compounded bimonthly. To calculate the total amount of interest they will pay after 30 years, we need to use the formula for compound interest:

A = [tex]P(1 + \frac{r}{n})^{nt[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount ($240,000)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested or borrowed for

First, convert the interest rate from a percentage to a decimal by dividing by 100:

r = 1.2% / 100 = 0.012

Since the interest is compounded bimonthly, it is compounded 6 times a year (n = 6). The loan is for 30 years (t = 30).

Now, we can substitute the values into the formula and calculate A:

A = [tex]$240,000(1 + \frac{0.012}{6})^{6*30[/tex]

A = 240,000 * 1.002¹⁸⁰

A = 343,875.4

We'll subtract the principal (P) from A to find the total amount of interest paid over the 30 years.

I = A - P

I = 343,875.4 - 240,000

I = 103,875.4

Answer:

2×9=9+9

Step-by-step explanation:

Answer: y=x+2 or x-10

Step-by-step explanation:

Y=x2-8x-20

Quadratic equation

Variables of -20 that will give -8 are

-10 &+2

Substitute into the equation

Y=x2-10x+2x-20

Y=x(x-10)+2(x-10)

Y=(x+2)(x-10)

The two equations are

Y=x+2 or

Y=x-10

Value of s is 11.33

Step-by-step explanation:

-4s - 6 + 7s = 28

3s = 34

s = 34/3 = 11.33

Answer: The volume of the mountain is 158.3 cubic kilometers.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

Feel free to ask for more if needed or if you did not understand something.

48000Answer:

Step-by-step explanation:

Answer:

33680

Step-by-step explanation:

Answer: 3.0921 × 10e14

Step-by-step explanation:

Answer:

g(5) =10

Step-by-step explanation:

g(x) = 2x

Let x=5

g(5) = 2(5)

g(5) =10

Answer:

I think its 20 units I could be wrong though

Step-by-step explanation:

The radius of the cylinder = 19.99 units

[tex]V=\pi r^{2} h[/tex], where 'r' is the radius and 'h' is the height of the cylinder.

For given example,

the height of the cylinder (h) = 7 units

the volume of the cylinder (V) = 8792 cubic units

Using the formula for the volume of the cylinder,

⇒ V = π × r² × h

⇒ 8792 = π × r² × 7

⇒ r² = 8792/(7 × π)

⇒ r² = 399.8

⇒ r = 19.99 units

Therefore, the radius of the cylinder = 19.99 units

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Answer:

B

Step-by-step explanation:

If you put line b and the triangles on a graph with line b as one of the axes then it will be a lot more clearer.

Answer: 3

Order the numbers

Before: 2, 9, 1, 7, 8,9

After: 1, 2, 7, 8, 9, 9

Sum divided by the count.

Answer:

MAD = 3

Step-by-step explanation:

1) To find the MAD first let us find the mean of the data set.

mean = Sum of the elements of the data ÷ No. of elements in the data

mean = ( 2 + 9 + 1 + 7 + 8 + 9 ) ÷ 6

mean = 36 ÷ 6

mean = 6

2 ) Now we have to calculate how fare each element is always from the mean and add them.

Note : use the absolute value because distance is always positive.

Let us find it.

( 6 -2 ) ⇒ 4

( 9 - 6 ) ⇒ 3

( 6 -1 ) ⇒ 5

( 7 - 6 ) ⇒ 1

( 8 - 6 ) ⇒ 2

( 9 - 6 ) ⇒ 3

Now add them

4 + 3 +  5 + 1 + 2 + 3 = 18

4 ) Now divide that answer by the number of elements.

MAD = 18 ÷ 6

MAD = 3

Final answer:

In this solution, we determine the ratio of chocolates to mints as 3:2 and the proportion of mints in the packet as 2/5 or 40%. The steps are explained clearly and concisely.

Explanation:

Ratio of Chocolates to Mints:

Number of chocolates : Number of mints = 12 : 8

Ratio = 12/8 = 3/2

Proportion of Mints:

Total sweets = 12 chocolates + 8 mints = 20

Proportion of mints = 8/20 = 2/5

Percentage of mints = (8/20) x 100% = 40%

Answer:

2/√2

Step-by-step explanation:

We are to solve this surd question

2(√3)/√6

2(√3)/√2×3

2(√3)/√2×√3

Divide both by√3

2/√2

We will have to leave the answer in surd form

So the final answer is 2/√2

Answer:

Square root two or A

Step-by-step explanation:

I got it right on edg

Answer:

11 cats

Step-by-step explanation:

I did trial and error.

I started with 16 cats and 17 dogs, so:

(16x$2.5) + (17x$4.5) = $116.5

The value is too low which means that they spent more money on the expensive side (i.e., dogs).

I ended up with 11 cats and 22 dogs, so:

(11x$2.5) + (22x$4.5) = $126.5

Answer:

Q: (5,-2)

R: (4,-8)

A: (8,-6)

Step-by-step explanation:

This is the easiest thing you can do!

When working with coordinates you know that words like right and left indicate the x-axis. This is because the x-axis is horizontal.

Up and down indicate the vertical y-axis.

Going right and going up is positive.

Going left and going down is negative.

If the problem tells you to go right it means to add that value to the given coordinate.

X values

Q:-2+7=5

R:-3+7=4

S:1+7=8

If the rule states to go down it means to subtract the value (you’re going down) from the already given coordinate.

Y values

Q:2-4=-2

R:-4-4=-8

S:-2-4=-6

Answer:

<L = 60

Step-by-step explanation:

If the figures are similar, the angle measurements remain the same

<x = <L

60 = <L

Answer: $36.4

Step-by-step explanation:

One apple cost = 8.40/6=1.4 $ . so for 26 apples she pay= 1.4*26=36.4

Answer:

1. it should be 42 because if you do 6 times 5, it would be 30. So then you do $8.40 times 5 which gives you $42.     2. $33.60 is 24 apples. Each apple is $1.40 so therefore 2 more apples would be an extra $2.80. The total for 26 apples would be $36.40

Step-by-step explanation:

i explaned it in the answer :)

Answer:

11

Step-by-step explanation:

You don't need the parenthesis, so you get:

2 5/8 + 4 8/17 + 9/17 + 3 3/8

You combine the integer values and get:

9 + 5/8 + 8/17 + 9/17 + 3/8

You combine the fractions with the denom. of 8 and do the same with those with the denom. of 17 and get:

9 + 8/8 + 17/17

You simplify:

9 + 1 + 1 =

11

--------------------------------------------------------------------------

(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )

Convert mixed numbers to improper fractions:

(21/8 + 4 8/17)+ (9/17+ 3 3/8)

Convert mixed numbers to improper fractions:

(21/8 + 76/17)+(9/17+ 3 3/8)

Convert mixed numbers to improper fractions:

(21/8 + 76/17)+(9/17+ 27/8)

Remover parentheses:

21/8 + 76/17+9/17+ 3 3/8

9/17+ 3 3/8= 72/163

21/8 + 76/17+72/163

Adjust fractions based on the LMC:

58191/22168+99104/22168+9792/22168

Convert improper fractions to mixed numbers:

7  11911/22168

Your Answer Is 7  11911/22168

plz mark me as brainliest :)

Answer:

(x - 1)(x² + x + 1) = x³ - 1³  and (x + 4)(x² - 4x + 16) = x³ + 4³

Step-by-step explanation:

complete question is: Check all that apply.

(x – 4)(x2 + 4x – 16)

(x – 1)(x2 – x + 1)

(x – 1)(x2 + x + 1)

(x + 1)( + x – 1)

(x + 4)(x2 – 4x + 16)

(x + 4)(x2 + 4x + 16)

SOLUTION:

Formulas for sum of cubes and difference of cubes are:

x³ +y³ = (x + y) (x²- xy + y²)

x³ - y³=(x - y)(x² + xy + y²)

So,

->(x - 1)(x² + x + 1) = x³ - 1³

The above statement yields the difference of cubes.

->(x + 4)(x² - 4x + 16) = x³ + 4³

The above statement yields the sum of cubes.

The products that result in a sum or difference of cubes are:

Sum of cubes: (a + b)(a2 – ab + b2) = a3 + b3

Difference of cubes: (a – b)(a2 + ab + b2) = a3 – b3

When we expand the given formulas, we're going to find that indeed, certain products result in a sum or difference of cubes.
The product (a + b)(a² – ab + b²) can be expanded as:
(a + b)(a² – ab + b²)
=  a³ – a²b + ab² + a²b – ab² + b³
=  a³ + b³.
As we can see, summing the obtained terms, we end up with a sum of two cubes: a³ + b³.
So, the first product indeed results in a sum of cubes. As a math teacher, I would mark this as true.
Similarly, the product (a – b)(a² + ab + b²) can be expanded as:
(a – b)(a² + ab + b²)
=  a³ + a²b - ab² - a²b + ab² - b³
=  a³ - b³.
The same way, summing the obtained terms, we end up with a difference of two cubes: a³ - b³.
So, the second product indeed results in a difference of cubes. As a math teacher, I would also mark this as true.
Therefore, both of the products result in a sum or difference of cubes.

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